Based on helpful comments and links here and also from my question on the physics stackexchange, I have learned that the quartz crystals are nature's transducers of energy, allowing electrical energy to be converted into mechanical energy (and vice-versa). Furthermore, the Piezoelectrical properties of quartz crystals used in circuitry are best utilized by slicing (or growing) the quartz crystal in precise planes in order to facilitate the electrical conductivity across the physical lattice structure perfectly (even though energy is lost in this conversion). Lastly, "twinning" describes the natural "irregularity" from the divergent growth of crystalline structures in natural quartz that causes an inherent dampening of electrical potential, and consequently, less Q or oscillations. Therefore, as I understand the subject so far, hooking up electrodes to opposite "polar" ends of a natural quartz crystal without consideration for the physical internal lattice structure is possible to achieve low frequency oscillations, but electrically inefficient and unpredictable in the amount of amplification needed to overcome the low induction potential for piezoelectric oscillations.
How do I build a quartz oscillator for a large pieces of quartz crystal ranging from a gram in weight up to several grams in weight (palm-sized and larger) for maximum Q? I would like to know what circuitry, components, voltages, amperage, and current to use to achieve some range of safe oscillation frequency for vibrating a large, irregular (natural) piece of quartz. I imagine that hooking up cathode and anode leads of hot current to a large crystal could be quite dangerous to experiment around with, from risk of electric fire to even the crystal exploding. I imagine that I would use a amplifier dial-in the desired oscillations. The oscillations do not have to be regular or precise in form, but should be maximally efficient.
Here is the best video on Youtube that I could find showing a computer simulation of my basic intention at 2:20: https://www.youtube.com/watch?v=1pM6uD8nePo
Here is the best link on physics.stackexchange that I could find: https://physics.stackexchange.com/questions/187604/vibration-of-quartz-crystal
I am not attempting to make my own crystal by slicing, cutting, or grinding raw quartz, although I appreciate the interest and resources provided by the community in this direction. My sister question from the physics stackexchange is about oscillating a chunk of quartz by overcoming the known piezoelectric limitations of irregularly-structured natural quartz, and my question here is about the practical implementation of safely and efficiently applying voltage to a piece of tectosilicate mineral formation for maximum Q. Based on the answers so far, it appears that placing the electrodes on the sides of the crystal (versus the polar ends) will allow for better piezoelectric coupling. Additionally, my local Radioshack does not sell circuit amplifiers (just audio amplifiers). Any direction or help on building an amplifier (or safely modifying an audio amplifier) to adjust the amplitude of raw voltage going to the crystal would be greatly appreciated (I'm not sure if this should be a separate question). In conclusion, this questions is less about circuits and more about how a layperson should get a chunk of quartz safely between two electrodes.